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Volumn 37, Issue 3, 1998, Pages 229-236

On almost sure max-limit theorems

Author keywords

Almost sure versions; Logarithmic means; Max stable distributions; Maximum limit theorems

Indexed keywords


EID: 0032536655     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00121-1     Document Type: Article
Times cited : (76)

References (15)
  • 1
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    • Berkes, I., 1995. On the almost sure central limit theorem and domains of attraction. Probab. Theory Related Fields 102, 1-18.
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    • Berkes, I.1
  • 2
    • 0000527283 scopus 로고
    • On the almost sure central limit theorem for random variables with infinite variance
    • Berkes, I., Dehling, H., 1994. On the almost sure central limit theorem for random variables with infinite variance. J. Theoret. Probab. 7, 667-680.
    • (1994) J. Theoret. Probab. , vol.7 , pp. 667-680
    • Berkes, I.1    Dehling, H.2
  • 4
    • 84976180582 scopus 로고
    • An almost everywhere central limit theorem
    • Brosamler, G., 1988. An almost everywhere central limit theorem. Math. Proc. Cambridge Philos. Soc. 104, 561-574.
    • (1988) Math. Proc. Cambridge Philos. Soc. , vol.104 , pp. 561-574
    • Brosamler, G.1
  • 6
    • 84974325944 scopus 로고
    • Invariance principles for logarithmic averages
    • Csörgö, M., Horváth, L., 1992. Invariance principles for logarithmic averages. Math. Cambridge Philos. Soc. 112, 195-205.
    • (1992) Math. Cambridge Philos. Soc. , vol.112 , pp. 195-205
    • Csörgö, M.1    Horváth, L.2
  • 7
    • 0003248852 scopus 로고
    • On regular variation and its application to the weak convergence of sample extremes
    • Amsterdam
    • de Haan, L., 1970. On regular variation and its application to the weak convergence of sample extremes. Math. Centre Tracts 32, Amsterdam.
    • (1970) Math. Centre Tracts , vol.32
    • De Haan, L.1
  • 8
    • 0000788888 scopus 로고
    • Weight functions and pathwise local central limit theorems
    • Horváth, L., Khoshnevisan, D., 1995. Weight functions and pathwise local central limit theorems. Stoch. Proc. Appl. 59, 105-123.
    • (1995) Stoch. Proc. Appl. , vol.59 , pp. 105-123
    • Horváth, L.1    Khoshnevisan, D.2
  • 9
    • 0001407232 scopus 로고    scopus 로고
    • A strong approximation for logarithmic averages
    • Horváth, L., Khoshnevisan, D., 1996. A strong approximation for logarithmic averages. Studia Sci. Math. Hung. 31, 187-196.
    • (1996) Studia Sci. Math. Hung. , vol.31 , pp. 187-196
    • Horváth, L.1    Khoshnevisan, D.2
  • 10
    • 0001618801 scopus 로고
    • A note on the almost sure central limit theorem
    • Lacey, M.T., Philipp, W., 1990. A note on the almost sure central limit theorem. Statist. Probab. Lett. 9, 201-205.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 201-205
    • Lacey, M.T.1    Philipp, W.2
  • 12
    • 0010065627 scopus 로고
    • The a.s. Limit distribution of the longest head run
    • Mori, T.F., 1993. The a.s. limit distribution of the longest head run. Canad. J. Math. 45, 1245-1262.
    • (1993) Canad. J. Math. , vol.45 , pp. 1245-1262
    • Mori, T.F.1
  • 13
    • 0003855653 scopus 로고
    • Approximate distributions of order statistics with applications to nonparametric statistics
    • New York
    • Reiss, R.D., 1983. Approximate Distributions of Order Statistics with Applications to Nonparametric Statistics. Springer Series in Statistics, New York.
    • (1983) Springer Series in Statistics
    • Reiss, R.D.1
  • 15
    • 84985410727 scopus 로고
    • On strong versions of the central limit theorem
    • Schatte, P., 1988. On strong versions of the central limit theorem. Math. Nachr. 137, 249-256.
    • (1988) Math. Nachr. , vol.137 , pp. 249-256
    • Schatte, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.